• DOI:10.1103/PhysRevD.68.065014
• Corpus ID: 15652388

UV/IR Mixing and Anomalies in Noncommutative Gauge Theories

@inproceedings{Nakajima2002UVIRMA,
  title={UV/IR Mixing and Anomalies in Noncommutative Gauge Theories},
  author={Tadahito Nakajima},
  year={2002}
}

• T. Nakajima
• Published 7 May 2002
• Physics

Using path integral method (Fujikawa’s method) we calculate anomalies in noncommutative gauge theories with fermions in the bi-fundamental and adjoint representations. We find that axial and chiral gauge anomalies coming from non-planar contributions are derived in the low noncommutative momentum limit e p µ ( ≡ θ µν p ν ) → 0. The adjoint chiral fermion carries no anomaly in the non-planar sector in D = 4 k ( k = 1 , 2 , . . . , ) dimensions. It is naturally shown from the path integral method that anomalies in non-planar sector originate in UV/IR mixing.